Fawns between 1 and 5 months old have a body weight that is approximately normally distributed with mean μ = standard deviation = 3.9 kilograms. Let x be the weight of a fawn in kilograms. The Standard Normal Distribution (μ = 0, o = 1) (b) -3 19 < X

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 8E
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Fawns between 1 and 5 months old have a body weight that is approximately normally distributed with mean μ = 29.7 kilograms and
standard deviation o = 3.9 kilograms. Let x be the weight of a fawn in kilograms.
(b)
(c)
The Standard Normal Distribution
(u= 0, o = 1)
(e)
x <
-3
(f)
Convert the following x intervals to z intervals. (Round your answers to two decimal places.)
(a)
x < 30
Z <
19 < X
< Z
32 < x < 35
<Z<
-2
-2.17 < Z
<X
Z < 1.28
-1
Convert the following z intervals to x intervals. (Round your answers to one decimal place.)
(d)
0
68% of area
95% of area
99.7% of area
-1.99 < Z < 1.44
< X <
2
Z
6.2
Transcribed Image Text:Fawns between 1 and 5 months old have a body weight that is approximately normally distributed with mean μ = 29.7 kilograms and standard deviation o = 3.9 kilograms. Let x be the weight of a fawn in kilograms. (b) (c) The Standard Normal Distribution (u= 0, o = 1) (e) x < -3 (f) Convert the following x intervals to z intervals. (Round your answers to two decimal places.) (a) x < 30 Z < 19 < X < Z 32 < x < 35 <Z< -2 -2.17 < Z <X Z < 1.28 -1 Convert the following z intervals to x intervals. (Round your answers to one decimal place.) (d) 0 68% of area 95% of area 99.7% of area -1.99 < Z < 1.44 < X < 2 Z 6.2
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